We look at the division of 345377 by 59 
Our goal is to divide 345377 by 59.

Advancing to step 1:
If we divide 3 by 59, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 59

Let's proceed to step 2:
59 can be fit into 34 0 times, resulting in a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 59

Advancing to step 3:
The number 59 fits into 345 5 times, leaving a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 295 from 345 and we're left with 50.
Bring next digit (3) of the dividend behind the 50 and repeat the process: 503 / 59

On to step 4:
59 goes into 503 8 times with a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
If we take 472 away from 503, we end up with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 59

Going ahead to step 5:
317 divided by 59 is 5 with a remainder of 22.
Put 5 as the next digit of the answer. 
Result so far: 585.0
If we take 295 away from 317, we end up with 22.
Grab the next digit (7) from the dividend, add it to 22, then carry on: 227 / 59

Step 6:
227 divided by 59 is 3 with a remainder of 50.
Record the quotient 3 as the next digit in the result. 
Result so far: 5853.0
The remainder is 50 after subtracting 177 from 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
If we divide 500 by 59, we get 8 and a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 5853.8
If we take 472 away from 500, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
59 can be fit into 280 4 times, resulting in a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 5853.84
If we take 236 away from 280, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
440 divided by 59 is 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 5853.847
Subtract 413 from 440 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 10:
270 divided by 59 is 4 with a remainder of 34.
The next digit of our result is 4. 
Result so far: 5853.8474
If we subtract 236 from 270, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
59 can be fit into 340 5 times, resulting in a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 5853.84745
If we subtract 295 from 340, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 12:
450 divided by 59 is 7 with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 5853.847457
Deduct 413 from 450 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
59 goes into 370 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 5853.8474576
Subtracting 354 from 370 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
When dividing 160 by 59, we get 2 with a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 5853.84745762
Subtracting 118 from 160 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 5853.84745762, and the remainder is 4.2e-08.